Majorana fermion from Landau quantization in 2D topological superconductors

Abstract

We study the generation of Majorana fermions in a two-dimensional topological superconductor placed in a transverse magnetic field B. A topological insulator/superconductor heterostructure and a two-dimensional p-wave superconductor are discussed. It is demonstrated that in these systems a single vortex creates two Majorana fermions, one hosted at the vortex core. The wave function of the second Majorana state is localized in the superconductor volume along a circle of radius $r^{\ast }\propto B^{-1}$ centered at the vortex core. In the case of many vortices, the sensitivity of $r^{\ast }$ to the magnetic field B may be used to control the coupling between the Majorana fermions. The latter property could be an asset for quantum computations.

5 pages, 1 figure, several typos are corrected, possible braiding protocol is discussed, publication information is added

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Cited by in corpus (11)

• Majorana corner states in a two-dimensional magnetic topological insulator on a high-temperature superconductor
• Characterization of topological states via dual multipartite entanglement
• Topological edge states on time-periodically strained armchair graphene nanoribbons
• Aspects of topological superconductivity in 2D systems: noncollinear magnetism, skyrmions, and higher-order topology
• Strain-driven nematicity of the odd-parity superconductivity in Sr${}_x$Bi${}_2$Se${}_3$
• Local density of states in two-dimensional topological superconductors under a magnetic field: signature of an exterior Majorana bound state
• Bound fermion states in pinned vortices in the surface states of a superconducting topological insulator: The Majorana bound state
• Strain induced spin vortex and Majorana Kramer's pairs in doped topological insulators with nematic superconductivity
• Majorana vortex modes in spin-singlet chiral superconductors with noncollinear spin ordering: Local density of states study
• Coexistence of gapless and gapped vortex modes with Majorana corner states in a 2D second-order topological superconductor
• Supercurrent reversal in Zeeman-split Josephson junctions